Projective Geometry - Exploring Projective Geometry in Computer Vision

Fouad Sabry

Summary

What is Projective Geometry
 
Projective geometry is a branch of mathematics that focuses on the study of geometric qualities that remain unchanged regardless of the transformations that are being applied to them. This indicates that, in contrast to simple Euclidean geometry, projective geometry is characterized by a distinct environment, a space that is the subject of the project, and a limited collection of fundamental geometric notions. For a given dimension, the fundamental intuitions are that projective space has a greater number of points than Euclidean space does, and that geometric transformations are allowed that change the extra points into Euclidean points, and vice versa.
 
How you will benefit
 
(I) Insights, and validations about the following topics:
 
Chapter 1: Projective geometry
 
Chapter 2: Projective plane
 
Chapter 3: Projective space
 
Chapter 4: Affine geometry
 
Chapter 5: Desargues's theorem
 
Chapter 6: Duality (projective geometry)
 
Chapter 7: Complete quadrangle
 
Chapter 8: Homography
 
Chapter 9: Desargues configuration
 
Chapter 10: Conic section
 
(II) Answering the public top questions about projective geometry.
 
(III) Real world examples for the usage of projective geometry in many fields.
 
Who this book is for
 
Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Projective Geometry.

Available since: 04/30/2024.

Print length: 142 pages.

Science & Technology

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